An improved meshfree scheme based on radial basis functions for solving incompressible Navier <b>–S</b> tokes equations

The use of radial basis functions by variable shape parameter for solving partial differential equations

In this paper, some meshless methods based on the local Newton basis functions are used to solve some time dependent partial differential equations. For stability reasons, used variably scaled radial kernels for constructing Newton basis functions. In continuation, with considering presented basis functions as trial functions, approximated solution functions in the event of spatial variable wit...

Stable Gaussian radial basis function method for solving Helmholtz equations

‎Radial basis functions (RBFs) are a powerful tool for approximating the solution of high-dimensional problems‎. ‎They are often referred to as a meshfree method and can be spectrally accurate‎. ‎In this paper, we analyze a new stable method for evaluating Gaussian radial basis function interpolants based on the eigenfunction expansion‎. ‎We develop our approach in two-dimensional spaces for so...

An Upwind-Differencing Scheme for the Incompressible Navier-Stokes Equations

An iteration free backward semi-Lagrangian scheme for solving incompressible Navier-Stokes equations

Article history: Received 27 March 2014 Received in revised form 7 November 2014 Accepted 15 November 2014 Available online 5 December 2014

Solving Partial Diierential Equations by Collocation with Radial Basis Functions

Motivated by 5] we describe a method related to scattered Hermite interpolation for which the solution of elliptic partial diierential equations by collocation is well-posed. We compare the method of 5] with our method. x1. Introduction In this paper we discuss the numerical solution of elliptic partial diierential equations using a collocation approach based on radial basis functions. To make ...